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Finding the Third Proportional to 49,198 and 107,632

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Solution

The third proportional to 49,198 and 107,632 is: 235,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,198 : 107,632 = 107,632 : x
  2. Step 2: Convert to fraction form
    49,198/107,632 = 107,632/x
  3. Step 3: Cross multiply
    49,198x = 107,632 × 107,632
  4. Step 4: Simplify right side
    49,198x = 11,584,647,424
  5. Step 5: Solve for x
    x = 11,584,647,424/49,198
  6. Step 6: Final answer
    x = 235,469.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.